Expand and simplify (3X+9)(X-6)=0

When expanding brackets, we need to make sure each of the terms in the first bracket are multiplied by all the terms in the second bracket (and vice versa). To make sure nothing is missed, we can used the FOIL method (First Outer Inner Last). We start by multiplying the first two terms of each bracket together; 3X x X = 3X2 . We then multiply the outer terms together; 3X x -6 = -18X . Now multiply the innermost terms together; 9 x X = 9X . Finally, we multiply the last terms in each bracket together; 9 x -6 = -54 . Now the whole equation reads; 3X2 - 18X + 9X - 54 = 0. Now collect like terms together; 3X2 - 9X - 54 =0
To simplify the equation, we must find a common multiple for each term. In this case we can divide each term by 3. This leaves the final and simplified answer as; X2 - 3X - 18 =0

WA
Answered by Wonu A. Maths tutor

3673 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

√ (6²+8²) = ∛(125a³) Find a.


Factorise the equation below (1)


A ladder 6.2m long is leaning against a wall. The bottom of the ladder is 0.8m from the wall. Calculate the distance the ladder reaches up the wall, giving your answer to two decimal points.


An ordinary, fair sided dice is rolled 480 times. How many times is the number 3 expected?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning